On the enhanced Shahidi conjecture and global applications
Abstract
In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups Gn, we give the first complete proof of the enhanced Shahidi conjecture on generic representations in local Arthur packets. We also classify unramified representations of Arthur type for Gn, and show that they lie in exactly one local Arthur packet, which is anti-generic. Then, we discuss the global applications of these results.
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